{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import defaultdict\n",
    "import itertools\n",
    "import string\n",
    "import re\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import nltk\n",
    "import numpy as np\n",
    "\n",
    "import sys\n",
    "sys.path.append('..')\n",
    "from text_recognizer.datasets.emnist_lines_dataset import EmnistLinesDataset, construct_image_from_string, get_samples_by_char\n",
    "from text_recognizer.datasets.sentence_generator import SentenceGenerator\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EmnistLinesDataset loading data from HDF5...\n",
      "EMNIST Lines Dataset\n",
      "Max length: 34\n",
      "Max overlap: 0.33\n",
      "Num classes: 80\n",
      "Input shape: (28, 952)\n",
      "Train: (10000, 28, 952) (10000, 34, 80)\n",
      "Test: (1000, 28, 952) (1000, 34, 80)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "dataset = EmnistLinesDataset()\n",
    "dataset.load_or_generate_data()\n",
    "print(dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mapping: {0: '0', 1: '1', 2: '2', 3: '3', 4: '4', 5: '5', 6: '6', 7: '7', 8: '8', 9: '9', 10: 'A', 11: 'B', 12: 'C', 13: 'D', 14: 'E', 15: 'F', 16: 'G', 17: 'H', 18: 'I', 19: 'J', 20: 'K', 21: 'L', 22: 'M', 23: 'N', 24: 'O', 25: 'P', 26: 'Q', 27: 'R', 28: 'S', 29: 'T', 30: 'U', 31: 'V', 32: 'W', 33: 'X', 34: 'Y', 35: 'Z', 36: 'a', 37: 'b', 38: 'c', 39: 'd', 40: 'e', 41: 'f', 42: 'g', 43: 'h', 44: 'i', 45: 'j', 46: 'k', 47: 'l', 48: 'm', 49: 'n', 50: 'o', 51: 'p', 52: 'q', 53: 'r', 54: 's', 55: 't', 56: 'u', 57: 'v', 58: 'w', 59: 'x', 60: 'y', 61: 'z', 62: ' ', 63: '!', 64: '\"', 65: '#', 66: '&', 67: \"'\", 68: '(', 69: ')', 70: '*', 71: '+', 72: ',', 73: '-', 74: '.', 75: '/', 76: ':', 77: ';', 78: '?', 79: '_'}\n"
     ]
    }
   ],
   "source": [
    "print('Mapping:', dataset.mapping)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'is invaded by a___________________'"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def convert_y_label_to_string(y, dataset=dataset):\n",
    "    return ''.join([dataset.mapping[i] for i in np.argmax(y, axis=-1)])\n",
    "\n",
    "convert_y_label_to_string(dataset.y_train[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "is invaded by a___________________\n",
      "electric__________________________\n",
      "group went one of the Gallerys____\n",
      "him immediate takeoff permission__\n",
      "leverage on_______________________\n",
      "by the split end coming___________\n",
      "which will ensure agricultural____\n",
      "French____________________________\n",
      "she had learned that it was_______\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_samples_to_plot = 9\n",
    "\n",
    "for i in range(num_samples_to_plot):\n",
    "    plt.figure(figsize=(20, 20))\n",
    "    sentence = convert_y_label_to_string(dataset.y_train[i]) \n",
    "    print(sentence)\n",
    "    plt.title(sentence)\n",
    "    plt.imshow(dataset.x_train[i], cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
